Lengths of radii under conformal maps of the unit disc

被引：5

作者：

Balogh, Z

Bonk, M

机构：

[1] Univ Bern, Inst Math, CH-3012 Bern, Switzerland

[2] Univ Jyvaskyla, Dept Math, SF-40351 Jyvaskyla, Finland

[3] Tech Univ Braunschweig, Inst Anal, D-38106 Braunschweig, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 03期

关键词：

D O I：

10.1090/S0002-9939-99-04565-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If E-f(R) is the set of endpoints of radii which have length greater than or equal to R > 0 under a conformal map f of the unit disc, then cap E-f(R) = O(R-1/2), R --> infinity for the logarithmic capacity of E-f(R). The exponent -1/2 is sharp.

引用

页码：801 / 804

页数：4